Question 148253
{{{v=20*sqrt(273t^6)}}} Start with the given equation.



{{{348=20*sqrt(273t^6)}}} Plug in {{{v=384}}}



{{{17.4=sqrt(273t^6)}}} Divide both sides by 20.



{{{(17.4)^2=273t^6}}} Square both sides.



{{{302.6=273t^6}}} Square 17.4 to get 302.6



{{{1.10842=t^6}}} Divide both sides by 273.



{{{root(6,1.10842)=t}}} Take the 6th root of both sides to isolate t.



{{{1.0173=t}}} Take the 6th root of 1.10842 to get 1.0173



{{{t=1}}} Now round to the nearest degree 


So when the temperature is 1 degree Celcius, then the approximate velocity of sound is 348 meters per second